Solvability of a singular boundary value problem in a domain of the Lobachevskii plane |
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| Authors: | E D Emtseva V V Katrakhov |
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| Institution: | 1. Vladivostok State University of Economics and Service, ul. Gogolya 41, Vladivostok, 690600, Russia
2. Voronezh State University, Universitetskaya pl. 1, Voronezh, 394006, Russia
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| Abstract: | Under study is some singular elliptic boundary value problem in a domain of the Lobachevskii plane with an isolated boundary point. We introduce the new function spaces that coincide with the spaces of Sobolev-Nikol’skii-Besov type outside the singular point, and the concept of σ-trace at the singular point. The main result is a proof that the singular boundary value problem is uniquely solvable. |
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